Asynchronous Fault Detection Observer for 2-D Markov Jump Systems

P. Cheng; H. Wang; V. Stojanovic; S. He; K. Shi; X. Luan; F. Liu; C. Sun

doi:10.1109/TCYB.2021.3112699

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Asynchronous Fault Detection Observer for 2-D Markov Jump Systems

Journal article

Peer reviewed

Asynchronous Fault Detection Observer for 2-D Markov Jump Systems

P. Cheng, H. Wang, V. Stojanovic, S. He, K. Shi, X. Luan, F. Liu and C. Sun

IEEE Transactions on Cybernetics, Vol.52(12), pp.13623-13634

2022

DOI: https://doi.org/10.1109/TCYB.2021.3112699

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Abstract

2-D

asynchronous fault detection (FD) observer

darboux equation

hidden Markov model (HMM)

Markov jump systems (MJSs)

In this article, the problem of the asynchronous fault detection (FD) observer design is discussed for 2-D Markov jump systems (MJSs) expressed by a Roesser model. In general, the FD observer cannot work synchronously with the system, that is, the mode of the observer varies with the mode of the system in line with some conditional transitional probabilities. For dealing with this difficult point, a hidden Markov model (HMM) is employed. Then, combining the H∞ attenuation index and Extra close brace or missing open brace increscent index, a multiobjective solution to the FD problem is formed. In terms of linear matrix inequality technology, sufficient conditions are gained to guarantee the existence of the asynchronous FD. Simultaneously, an asynchronous FD algorithm is generated to acquire the optimal performance indices. Finally, a numerical example concerned with the Darboux equation is demonstrated to exhibit the soundness of the developed approach.

Details

Title: Asynchronous Fault Detection Observer for 2-D Markov Jump Systems
Authors/Creators: P. Cheng (Author/Creator) - Anhui University
H. Wang (Author/Creator) - Murdoch University
V. Stojanovic (Author/Creator) - University of Kragujevac
S. He (Author/Creator) - Anhui University
K. Shi (Author/Creator) - Chengdu University
X. Luan (Author/Creator) - Jiangnan University
F. Liu (Author/Creator) - Jiangnan University
C. Sun (Author/Creator) - Anhui University
Publication Details: IEEE Transactions on Cybernetics, Vol.52(12), pp.13623-13634
Publisher: IEEE
Identifiers: 991005541534307891
Murdoch Affiliation: School of Engineering and Energy; Centre for Water, Energy and Waste
Language: English
Resource Type: Journal article

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Collaboration types: Domestic collaboration; International collaboration
Citation topics: 4 Electrical Engineering, Electronics & Computer Science; 4.29 Automation & Control Systems; 4.29.30 Robust Control Systems
Web Of Science research areas: Automation & Control Systems; Computer Science, Artificial Intelligence; Computer Science, Cybernetics
ESI research areas: Computer Science